It is possible to crochet and in-globe another material. I have done so in: Tissue paper basket.
For this basket I begun by crocheting flat to make a base and then I started crocheting in the round. I only use the basic crochet stitch.
I have staggered the strands of raffia. This helps keeping the diameter of the basket even. Most often you need only add one strand at the time to the bundle that is being tied to the spiral.